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＜電子ブック＞
Variational Problems in Materials Science / edited by Gianni Dal Maso, Antonio de Simone, Franco Tomarelli
(Progress in Nonlinear Differential Equations and Their Applications. ISSN:23740280 ; 68)

版	1st ed. 2006.
出版者	(Basel : Birkhäuser Basel : Imprint: Birkhäuser)
出版年	2006
本文言語	英語
大きさ	X, 162 p : online resource
著者標目	Dal Maso, Gianni editor de Simone, Antonio editor Tomarelli, Franco editor SpringerLink (Online service)
件　名	LCSH:Materials science LCSH:Differential equations LCSH:Mathematical optimization LCSH:Calculus of variations LCSH:Mathematics -- Data processing  全ての件名で検索 LCSH:Mathematical models FREE:Materials Science FREE:Differential Equations FREE:Calculus of Variations and Optimization FREE:Computational Mathematics and Numerical Analysis FREE:Computational Science and Engineering FREE:Mathematical Modeling and Industrial Mathematics
一般注記	Remarks on a Multiscale Approach to Grain Growth in Polycrystals -- Another Brick in the Wall -- Variational Problems for Functionals Involving the Value Distribution -- Bi-Modal Cohesive Energies -- Criterion for Tricritical Points in Liquid Crystal Phases -- Asymptotics of Boundary Value Problems for Supercritical Ginzburg-Landau Energies -- An Introduction to H-measures and Their Applications -- A Singular Perturbation Result with a Fractional Norm -- Smooth and Creased Equilibria for Elastic-plastic Plates and Beams -- On Concentrated Contact Interactions -- Discontinuous Hysteresis and P.D.E.s This volume contains the proceedings of the international workshop Variational Problems in Materials Science, which was jointly organized by the International School for Advanced Studies (SISSA) of Trieste and by the Dipartimento di Matematica ``Francesco Brioschi'' of the Politecnico di Milano. The conference took place at SISSA from September 6 to 10, 2004. The study of variational problems in materials science has a long history, and it has contributed a lot in shaping our understanding on how materials work and perform. There is, however, a recent renewed interest in this subject as a consequence of the fruitful interaction between mathematical analysis and the modelling of new, technologically advanced materials. On one hand, a sizable group of analysts has found in materials science a valuable source of inspiration for new variational theories and interesting problems. On the other hand, workers in the fields of theoretical, applied, and computational mechanics are increasingly using innovative variational techniques. The workshop intended to review some of the recent advances stemming from the successful interaction between the two communities, and to identify promising areas for further cooperation. Talks were devoted to a wide spectrum of analytical techniques and of physical systems and phenomena. They included the study of BV vector fields, path functionals over Wasserstein spaces, variational approaches to quasi-static evolution, free-discontinuity problems with applications to fracture and plasticity, systems with hysteresis or with interfacial energies, evolution of interfaces, multi-scale analysis in ferromagnetism and ferroelectricity, variational techniques for the study of crystal plasticity, of dislocations, and of concentrations in Ginzburg-Landau functionals, concentrated contact interactions, and phase transitions in biaxial liquid crystals. This volume collects contributions authored or co-authored by 11 of the 20 speakers invited to deliver lectures at the workshop. They all contain original results in fields which are at the forefront of current research, and in rapid evolution. HTTP:URL=https://doi.org/10.1007/3-7643-7565-5

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